If the below system of equations has infinitely many solutions, what is
the value of  p/q?
6x+py = 21
qx+5y=7

What is the slope of a line with the equation 5x + 4y = 2?

Which could be the slope of a line that contains (1, 1) and passes
between the points (0, 2) and (0, 3)?

Which of the following expressions is equivalent to
1/2(2a+3b+4c) - 3/2(b+2c)?

In the xy-plane, which of these linear equations has a y-intercept of 12?

Connor wants to attend the town carnival. The price of admission to the carnival is $4.50, and each ride costs an additional 79 cents. If he can spend at most $16.00 at the carnival, which inequality can be used to solve for r, the number of rides Connor can go on, and what is the maximum number of rides he can go on?

The graph of a line in the xy-plane has slope and contains the point
(0, 7). The graph of a second line passes through the points (0, 0) and
(–1, 3). If the two lines intersect at the point (r, s), what is the value of
r + s?

In the system of equations below, k and s are nonzero constants. If the
system has no solutions, what is the value of k?
$$\frac{1}{3}r +4s =1$$
$$kr+6s=-5$$

The point whose coordinates are (4, −2) lies on a line whose slope is .
Which of the following are the coordinates of another point on this
line?

Let h be the function defined by h(x) = x + 4x. What is the value of 
$$h(\frac{-1}{2})$$

A family kept a log of the distance they traveled during a trip, as represented by the graph below in which the points are ordered pairs of the form (hour, distance). During which interval was their average speed the greatest?

Which of the following equations represents a line in the xy-coordinate plane with a
y-intercept of 6 and a slope of − 3?

Which of the following equations has a slope perpendicular to the slope of a line with the equation y = ax + b, given that a and b are constants?

Which ordered pair (x, y) satisfies the system of equations
shown below?
3x - (y/3) = 21
x = y+7

If function f is defined by f(x) = 5x + 3, then which expression
represents 2f(x) – 3?

Which of the following expressions is NOT
equivalent to p - 2/3 (2p - 3q) - 1/3 (p + 4q)

If the function k is defined by k(h) = (h + 1)2, then k(x − 2) =
x²-x

The graph of the inequality y ≤ 2x will include all of the points in
which quadrant?

If  \(a=60(99)^{99}+ 30(99)^{99}, b=99^{100},c=90(90)^{99}\)
then which of the following expresses the correct
ordering of a, b, and c

According to market research, the number of magazine subscriptions
that can be sold can be estimated using the function
$$n(p)=\frac{5,000}{4p-k}$$
where n is the number of thousands of subscriptions sold, p is the price
in euros for each individual subscription, and k is some constant. If
250,000 subscriptions were sold at €15 for each subscription, how
many subscriptions could be sold if the price were set at €20 for each
subscription?

Let the function f be defined by f(x) = x²+ 12. If n is a positive number
such that f(3n) = 3f(n), what is the value of n?

Which of the following is an equation of a line that is parallel to the
line (1/2 )y - (2/3)x = 6in the xy-plane?

Segments AP and BP have the same length. If the coordinates of A and
P are (−1, 0) and (4, 12), respectively, which could be the coordinates
of B?
I. \((\frac{3}{2},6)\)
II (9,24)
III(-8,7)

Which of the following expressions is equivalent to
2/4(a²-a-3) + 1/3 (a²+2a+6)

What is the slope of the line 2(x + 2y) = 0?

The lines y = ax + b and y = bx + a are graphed in the xy-plane. If a and
b are non-zero constants and a + b = 0, which statement must be true?

what is the value of
$$\frac{7\div (q)^{2}\times 2}{2p}\times \frac{-p+6q-r}{-q}$$
if p =4, q= 1/2 and r = 2?

The annual profit from the sales of an item is equal
to the annual revenue minus the annual cost for
that item. The revenue from that item is equal to
the number of units sold times the price per unit.
If n units of a portable heart monitor were sold in
2012 at a price of €65 each, and the annual cost to
produce n units was €(20,000 + 10n), then which
of the following statements indicates that the total
profit for this heart monitor in 2012 was greater
than €500,000?

In the system of linear equations below, k is a constant. If the system
has no solution, what is the value of k?
$$(k-1)x+\frac{1}{3}y=4$$
$$k(x+2y)=7$$

The ninth grade class at a local high school needs to purchase a park permit for €250.00 for their upcoming class picnic. Each ninth grader attending the picnic pays €0.75. Each guest pays €1.25. If 200 ninth graders attend the picnic, which inequality can be used to determine the number of guests, x, needed to cover the cost of the permit?

For the equation 1/2 y= 2/3 x -4, what is the x-intercept?

The equation a + b = 15 relates the number of hours, a, Kevin
spends doing homework each week and the number of hours he
spends watching television each week. If Kevin spends a total of
15 hours doing homework and watching television each week,
what does the variable b represent?

Which of the following is equivalent to 10 + 2(x − 7)?

Which of the following expressions is equivalent
to 5.4(x-2y)-2.7(x-3y)?

A function f is defined such that f(1) = 2, f(2) = 5, and f(n) = f(n − 1) − f(n − 2) for all integer values of n greater than 2. What is the value of f(4)?

The points A(2, 3) and B(m, 11) are 10 units apart.
Which of the following equations could describe
the line that contains points A and B ?

The line y + 2x = b is perpendicular to a line that passes through the
origin. If the two lines intersect at the point (k + 2, 2k), what is the
value of k?